HG 

\cze 







m 



| LIBRARY OF CONGRESS."! 
Chap. iLGQfe&SL 

Shelf ^R'b 




UNITED STATES OF AMERICA. 






DECIMAL 



TABLES OF INTEREST, 



REDUCED TO THE 



©enarp £cale of Rotation* 



Table A. The Interest on any capital, at the 
rate of six per cent, for 360 days. 
From 1 to 365 days. 
From every day to the end of the 

year. 
From 1 to 12 months. 
From 1 year to 10 years. 



Table B. To reduce the Interest found in 
Table A. to any other rate per 
cent, per 360 or 365 days. 



A METHOD 



CONCISE, EASY AND MATHEMATICALLY ACCURATE. 



BY JOHN JOSEPH REEKERS. 



Stereotype Edition. 




Baltimore: 

TBI5TED FOR THE AUTH'-R BY WILLIAM WOODDY. 
1822. 






•*3 



District of Maryland, ss. 

"^ • "**$ BE IT REMEMBERED, that on the seventh day of May, in the forty-sixU, 

^ Seal ^ year of the IirDKPKsniwcs of the United States of America, 1822, John Joseph 

<*►.-•*■ '^-»<4>Reekers, of the said district, hath deposited in this office, the title of a Book 

the right whereof, he claims as author, in the words following:, to wit, 

"Decimal Tables of Interest, reduced to tfye Denary Scale of Notation. 

"Table A., the interest on any capital, at the rate of six per cent, per 360 days, from 

1 to 365 days. 

Every day to the end of the year. 

1 to 12 months. 

1 year to 10 years • 

Table B to reduce the interest found in Table A- to any other rate per cent, per 360 or, 
365 days. 
A method concise, easy, and mathematically accurate — by John Joseph Reekers." 
In conformity with an act of the Congress of the United States, entitled, "An Act for 
the encouragement of learning 1 , by securing" the copies of Maps, Charts and Books, to the 
authors and proprietors of such copies, during- the times therein mentioned;" and also to, 
the act, entitled "an act supplementary to the act, entitled an act for the encouragement 
of learning by securing the copies of Maps, Charts, and Books, to the authors and proprie- 
tors of suoh copies, during the times therein mentioned, and extending the benefits there- 
of to the arts of designing, engraving and etching historical and other prints." 

PHILIP MOORE, Clerk 
District of Maryland. 



iff. 



Ju*s / >.— *** ^ 22 " 



CONTENTS. 



Cable A &fato£; 

§ 1. The interest at 6 per cent for the Mercantile year of 360 days. 

2. \nother mode. 

3. The interest at the same rate from any day of the year, to the close of the same 

year 

4. The interest for a term of years, months and days. 

5. When a note becomes due. 

6. The numoer of days from one date to another date. 



Cable B £>ftcto$: 

7. The interest at any integral rate per cent, and also its quarters, from 1 to 9}. 

8. Also the interest reduced from the mercantile to the civil year of 365 days. 



UOTIB©ISMOT2(iM 



Explanation of Table A. 

§ 1. To find interest at 6 per cent computed for the year of 350 days* 
This table contains a series of numbers, from l to 365, corresponding with 
the da\s in the year, in the first column; and in the last, the names and 
dates of the several months, in a reversed order, beginning with the 31st of 
December and ending with the 1st of January, also a term of years from 
1 to 10, divided into months, and subdivided into 10 and 20 days. The 
intermediate columns are headed with figures, from 1 to 9, and underneath 
is expressed the interest of each number at 6 per cent in decimals. Those 
ending with a cypher are perfect decimals, and those over whose last figure 
a period is placed, are endless decimals, admitting that figure to be repeated 
as often as any given operation may demand: thus the interest of Si for 
S35 days, it is seen, is 0. 05583 or 0.03583333, ecc. repeating the 3 ad 
infinitum. 

The simple figures, which head the 9 intermediate columns, represent 
every sum, however great, whilst they equally serve for any decimal of an 
unit, however small. In this manner 1 may represent 100, 1000, 10.000, &c* 
so that if it is wanted to ascertain the interest of 1570 for 220 days, by in- 
spection of the Table, the figures .036 are found under the unit column, and 
by adding to this unit three cyphers, it is converted into 1000, and therefore 
we are authorised, on the principles of Decimal Arithmetic, to remove the 
decimal point, three figures tow ards the right hand, or beyond the figure 6 5 
so that it is discovered, that the interest of Si 000 is 36; but the 6 having the 
mark upon it of an endless decimal, add two others, placing the decimal 
point before them, and we have 36.66 as the interest of 1000. Next, is 
found the interest of 5 to be .1 S3; but by converting it to 500, the decimal 
point must be moved two figures towards the right hand, and we place it he- 
fore the 3 and have the interest IS. 3 to which as the 3 is also an endless 
decimal, as is discovered by the period placed above it, we may add as 
many 3's as may be requisite, or choosing to have the fraction expressed in 
hundredths, add only one; thus 18.33 is the interest of 500. Again, the in- 
terest of 7 is .256, therefore by moving the decimal point one figure towards 
the right, the interest of 70 is found to be 2.56 Thds, 

The interest of 1000 is S6.66 

do of 500 is 18.33 

do of 70 is 2.56 



$1570 S57.55. 

§ 2. The above manifests the Principles of the Table; but the following 
mode is more expeditious in practice: 



vi INTRODUCTION. 

Set down the figures denoting the interest upon each figure of the capital, 
underneath the same, as they are in the Table; and pi »ce the decimal 
point, where it will correspond with that of the capital; if there are vacant 
places to the right of that point, fill thein with cyphers. — Thus, 

Required the interest of $230.73 for 46 days. 

.01.533333333 

0.230000000 

.005366666 

.000230000 



1.768929999, &c. 



or 1.768929 



or .I.7b893 mathematically accurate. 

It may be unnecessary here to remark, that in the ordinary transactions, 
of computing interest, it is scarcely requisite, to have recourse to such 
nicety — Si. 77 being sufficiently near in the above case, and thus all the 
figures to the right of the mills, might have been omitted, but it is certainly 
proper, to point out to those, who wish for mathematical accuracy, how it 
may be obtained by these Tables, viz: by retaining the requisite figures of 
the decimals, until the sum of the last, or right hand figures, is either a 
cypher or an endless decimal as 9. e. 3. the value of which are by decimal 
arithmetic 1, 2-3, 1-3, 

§ 3. So much for the use of the first column, when the number of days is 
given. 

By the last column, containing the days and months of the year, is found 
the interest from any day of the year, to the close of that same year, because 
opposite each date, in the first column, the number of days for that period 
is shown.* 

Required the interest of $777.75 from 4th July to 3 1st Dec. 

included. 

Turning to 4th July, I find .21 .1 1 6 

.2.111 
.211 
.015 



$23,453 or 23.45 as required* 

§ 4. The simple interest for a term of years, months and days, may be 
ascertained, readily, by means of this same column on the right hand, which 
exhibits months divided into parts of 10 and 20 days. At the end of the 
first twelve months, a year is marked, by a large numeral, and so successively 
to 10 years. 

j - 
♦ In a leap year, if the period should include February* the day preceding the given date 
must be taken. 



INTRODUCTION. vii 

The use of this column is similar to what has been above explained, with 
this difference, that the decimal point is removed, one place to the right, 
because the number of days expressed in this column is tenfold the number 
of those opposite to them in the first column, where they proceed by units 
only. 

EXAMPLE. 

Wanted the interest on Si 75 for 3 years, 7 months, 10 days. Turn 
to 3 years marked by the large numeral, and then pursue the column 
to 7 months and 10 days. 

Opposite the 10 days designated by (•) I find for .175.00 

.02.166 

.1.516 

.108 

Which is for 130 days 3.790 

And for 1300 days, or the period required §37.90 

$ 5. To find when a note becomes due. — Turn to the date of the note in 
the last column: from the days opposite this, in the 1st column, deduct the 
days* it has to run.f find the remaining days in the 1st column, and opposite 
this, is the day when it becomes due. 



EXAMPLE. 

When will a note at 94 days, dated 16 March, fall due? 

The number opposite 16th March is 291. 

Deduct 94 

197 

Recurring with this to the first column, the 18th of June opposite to it, is 
the day when it becomes due. 

§ 6. To find the number of days from one date to another date. 

Find the dates in the last column, deduct the days opposite the latter 
date, from those opposite the former, the remainder is the number of days 
required. 

EXAMPLE. 

Required the days from 24th May to 27th October. 

222 days 6*6 days 

66 m 

156 days required. 



* If the number of days opposite the date when the note is drawn, § 5, and opposite tiie 
former Hate § 6, are equal to or less, than the number of days the note has to run, then add 
365 days, and deduct as before. And if in leap year the last of February should be inclu- 
ded within the period, the day preceding 1 that, found in the Table, is to be taken, §5, and one- 
day more, §6. 



Explanation of Table B 






§ 7. Its object is to shew the interest at the rates from 1 to 9§ per cent. 
each integer being also subdivided into quarters, to each of which the Table 
is adapted. 

To find the interest at any of the rates indicated in the second column. 
First, find the interest at the rate of 6 per cent, by means of Table A. as be- 
fore directed; and then ascertain the variation of it, by setting down the 
figures under those of the top column, which are found opposite the rate 
per cent, in the first column. 

EXAMPLE. 

To find the interest of $7*0 for 135 days, at the rate 3 § per cent* 
By Table A, I find 750 









•15.750 










.1.125 










816.875 


816.88 
.6.25 


In 


Table B, 


at 3 


•J I find for this 


3«75 
.50 
.05 



gl0.55 
Which is the interest sought. 

§ 8. The first column of this table contains the interest, reduced from the 
mercantile year of 360 days, to the civil year of 365 days; the large nu- 
merals from 1 to 9, in the second column, serve as indices, for this. The 
operation is similar to that already described, in finding the interest at 6 or 
any other rate per cent. 

It is to be remarked, that in this, the whole of the decimal fractions are 
recurring series, which is denoted by a period placed over the first and 
last figure of each decimal, whereas in the preceding, only the last figures 
are recurring. 

EXAMPLE. 

To find the interest at the rate of 3 f per cent, per 365 days on $750 for 
135 days. 

1 find by the last operation that the interest for the mercantile year of 
360 days is ... - $10-55 

In the first column under the large 
number 1, of the^cond column, I find 09.863 

Under 5 493 

Under do .049 

g!0,405 gl0.41 
Which is the interest required. 



TABLE A. 



7 



b i 

■ 


1 


Z 


a 


4 


b (5 


7 


8 


9 


1 Dec'r 

D.M.Y. 
51 • 


i 


0.00016 


0003 


0.00050 


0.0006 


... \ 
O.O0OS3 0.0010 


0.00116 


0.0013 


0.00150 


2 


.0003 


0006 


0010 


.0013 


.0016 


.0020 


.0023 


.0026 


.0030 


SO « 


3 


.00050 


.0010 


.00150 


.0020 


.00250 


.0030 


.00350 


.0040 


.00450 


29 lm 


4 


.0006 


.0013 


.0020 


.0026 


.003 


.0040 


0046 


.0053 


.0060 


28 . 


5 


.00083 


.0016 


.00250 


.003 


.00416 


•0050 


.00583 


.006 


.00750 


27.. 


0.0010 


0-0020 


0.0030 


0.0)40 


0.0050 


0.0060 


00070 


0.0080 


0-0090 


26 2m 


7 


.00116 


.0023 


.00350 


.0046 


.0*583 


.0070 


.00816 


.0093 


.01050 


25 • 


8 


.0013 


.0026 


.0040 


.0053 


.006 


.0080 


.0093 


.0106* 


.0120 


24 •• 


9 


.00150 


.0030 


.00450 


.0060 


.00750 


.0090 


.01050 


.0120 


.01350 


23 3m 


10 


.0016* 


.003 


0050 


.006 


.0083 


.010 


.0116 


.013* 


.0150 


22 . • 
21 •• 


J0.00183 


0036 


0.00550 


0.0073 


0.00916 


0-0110 


0.01283 


0.0146 


0.01650 


12 


| .0020 


.0040 


.0060 


.0080 


.010 


.0120 


.0140 


.0160 


.0180 


20 4m 


13 


j .00216 


.0043 


.0065- • 


.0086 


.01083 


.0130 


.01516 


.0173 


•01950 


19 • 


14 


. .0023 

1 


.0046 


.0070 


.0093 


.0116 


.0140 


.0163* 


,0186 


.0210 


18 '' 


15 

16.' 

I 


•00250 


.0050 


.00750 


.010 


.01250 


.0150 


.01750 


.020 


.02250 


\7 5m 


jp.0026 


0.0053 


0.0080 


00105 


0.013 


0.0160 


0.0186 


0.0213 


0.0240 


16 • 


*7p .("0283 


.0056' 


.00850 


.0113 


.01416 


.0170 


.01983* 


.0226 


.02550 


15 •• 


18 


; 0C 30 


.0060 


.0090 


.0120 


.0150 


.0180 


.0210 


.0240 


.0270 


14 6ra 


9 

1 


.00316 


.0063 


.00950 


.0126 


.01583 


.0190 


.02216 


.0253 


.02850 


13 • 


20 
^1 


.0-)"? 


.006 


.010 


.013 


.016 


.020 


.023* 


mi 


.030 


12 .. 
tl Tm 


00550 


J.0070 


0.01050 


0.0140 


3.01750 


0.0210 


0.0245, 


0.0280 


0.o3l50j 


22 


•0056 


.0073 


.0110 


.0146 


.0183 


.0220 


.0256 


.0293* 


.0330 


10 * 


M 


00383 


.0076 


.01150 


.0153 


.01916 


.0230 


.02683 


.0306 


.03450: 


9 " 


84, .0040 


0080 


.0120 


.0160 


•020 


.0240 


.0280 


.0320 


.0360 


8 8m 


25 


.00416 


.0083 


.01250 


.016 


.02083 


.0250 


.02916 


.03 


.03750 


f. 


0.0043 


0.0086* 


0.0130 


0.0173* 


0.0216 


0260 |°.0303 


0.0346 


0.0390 ! 


6 .. 1 


27 

28 

1 


.00450 
.0046 


.0090 
.0393 


.01350 
.0140 


.0180 
.0186 


.02250 
.023 


.0270 
.0280 


.0315.;, 
.0026 


.036(^| .04050 
,0373j .0420 | 


S 9m ' 

4 • j 


29 


.10483 


•0096 


.01450 


.0193 


.02416* 


.0290 


.03383 


.0386 .04350! 


3 - 


SO 


.005o 


.010 


.0150 


.020 


.0250 


.030 


.0350 


.040 


0450 


210m 


31 


.00516 .0103 


.01550 


.0206 


.02553 


.0310 


.03516 


.0413 


.04650 


1 - 











TABLE A. 










5 


1 o 

H 

32 


1 I 


% 


3 


4 


5 


6 


7 


8 


& I 


JVot?. 
D.M.T. 

SO •• 




5- 

0.0053 


0.0106 


0.0160 


0,0213 


0.026 


0.0320 


0.0373 


0.0426 


0.0480 




33 

34 
33 


.00550 
.0056 


•0110 
.0113 


.01650 
.0170 


.0220 
.0226 


.02750 
.0283 


.0330 
.0340 


.03850 
.0396 


.0440 
.0453 


.04950 
.0510 | 


29Hm 
28 • 


61 

Nov 


.00583 


.0116 


.01750 


.023 


.02916 


.0350 


.04033 


.045 


.05250 


27 .. 




36 
37 


.0060 


.0120 


.0180 


.0240 


.030 


.0360 


.0420 


.0480 


.0540 


26 | 

25 • 




0.00616 


0.0123 


0.01850 


0-0346' 


0.03083 


0.0370 


0.04316 


0.0493 


0.05550 




38 


.0063 


.0126 


.0190 


.0253 


.0316 


.0380 


.0443 


.0506 


.0570 


24" 




39 


.00650 


•0130 


.01950 


.0260 


.03250 


.0390 


.04550 


.0520 


.05850 


23 lm 




40 


.006* 


.013 


.020 


.026 


.03* 


.040 


.046 


.053 


.060 


22 . 




41 

42 


.00683 


■0135 


.02050 


.0273 


.03416 


0410 


.04783 


.0546 


.06150 


21 •• 

20 ^m 




*■ — i 

o.coro o.oi4o 


0.0210 


0.0280 


0.0350 


0.0420 


0.0490 


0-0560 


0.0630 




45 


.00716 


.0143 


.02150 


.0286 


.03583 


.0430 


.05016 


.0573 


.06450 


19* 




44 


.0073 


•0li6 


.0220 


.0293 


.036 


.0440 


.0513 


.0586 


.0660 


18" 




4b 


.00750 


.0150 


.02250 


.030 


.0375C 


.0450 


.05250 


.060 


.06750 


17 3m 




46 
47 


.0076 


.0153 


.0230 


.0306 


.0383* 


.0460 


.0536 


0613* 


.0690 


16 . 
15" 




000783 


0.01J6 


0.02350,0 0313 


0.03916 


0.0470 


0.05483 


0.0626 


0-07050 




48 


.0080 


.0160 


.0240 


.0320 


.040 


.0480 


.0560 


0640 


.0720 


14 4m 




49 


.00816 


.0163 


.02450 


.0326 


.04083 


.0490 


.05716 


.0653 


.07350 


13 . 




50 


.0083 


.016* 


.0250 


.03 


.0416 


.050 


.0583 


.06 


.0750 


12" 




51 

52 


.00850 


.0170 


02550 


.0340 


.04250 


.0510 


.05950 


0680 


.07650 


11 5m 
10 * 




0.0086* 


0.0173 


0260 


0-0346 


0.043 


O.052O 


0.0606 


0.0693 


00780 




53 


.00883 


.0176 


.02650 


.0353 


.04416 


.0530 


,06183 


.0706 


.07950 


9" 




54 


.0090 


•0180 


.0270 


.0360 


.0450 


.0540 


.0630 


.0720 


.0810 


8 6m 




55 


.00916 


.0183 


.02750 


.036 


.04583 


.0550 


.06416 


.073 


.08250 


7 • 




56: 


.0093 

- ■■ . 


.0186 


.0280 


.0373 


.046 


.0560 


.0653 


.0746 


.0840 


C •• 




57 


,0.00950 


0.0190 


02850 


0-0380 


-.04750 


0.0570 


0.06650 


0.0760 


0.08550 


5 7m 




68 


.0096 


0193 


.0290 


0386 


.0483 


.0580 


.0676 


.0773 


.0870 


4 « 




59 


0C983 


.0196 


.02950 


.0393 


.04916 


.0590 


.06883 


.0786* 


.08850 


3 m 




60 


.010 


.020 


030 


.040 


050 


.060 


070 


•080 


-099 


9. 8m 




e>! 


.OK 16 


.0203 


.03050 


.0406 


05083 


.0610 


07116 j ,081$ 


.09150' i • 













TABLE A. 










9 


k 

• 

62 


1 


% 


3 


4 


5 


6 


7 


8 


9 


Od'r 
31 .. 




0.0103 


0206 


0.0310 


0.0413 


0.0516 


0.0620 


U 0723 


0.0826 


l 0.09' ? 




63 


.0105C 


.0210 


.0315< 


) .0420 


.0525( 


> .0630 


.073 5C 


.0840 


.0945'' 


30 9m 




64 


.0106 


•0213 


.0320 


.0426 


.053* 


.0640 


.0746' 


.0853* 


.0960 


29 . 




65 


.010K 


f .0216 


•0325( 


) 043 


.054K 


> .0650 


.0758:' 


.086 


.09750 


28 •• 




66 


0110 


0220 


.0330 


•044C 


.0550 


0660 


.0770 


.0880 


.0990 


27 10m 




67 


0.01116 


i 0.0223 


0.03351 


) 0.0446 


0.05582 


' 0.0670 


0.0781 £ 


' '.0893 


010050 


26 • 




68 


.0113 


.0226 


.0340 


.0453 


.056 


.0680 


.0793 


.0906 


.1020 


25- 




69 


.0115C 


.0230 


.0345C 


.0460 


.0575C 


.06£0 


.0805C 


.0920 


.10350 


2<i 11m 




! TO 


.0116 


.023 


.0350 


.046 


.0583* 


.070 


.0816 


.093 


.1050 


23 • 




71 


•01183 


.0236 


03550 


0473 


.05916 


.0710 


.03283 


0946 


.10650 


22- 




' : * 


|o.C120 


0240 


0.0360 


0.0480 


0060 


0.0720 


0.0840 


0.0960 


0.1080 


«3 




73 


, .01216 


.0243" 


.03650 


.0486 


.06083* 


.0730 


.08516 


.0973 


.10950 


20 • 




74 


.0123* 


.0246 


.0370 


0493 


.0616 


.0740 


.0863 


.0986 


•1110 


19 •• 




; 75 


J .01250 


.0250 


.02750 


.050 


.06250 


.0750 


.08750 


.10 


.11250 


18 lm 




! 76 

! 

1 

: 77 


i .0126 

j_ . . 


.0253 


.0380 


.0506 


.063 


.0760 


.0886 


.1013 


.1140 


\7 • 




0.01283 


0.0256 


0.03850 0.051S 


0.06416 


0.0770 


0.08983* 


0.102"; 


0.11550 


16 « 




' 78 


.0130 


.0260 


.0390 .0520 


.0650 


.0780 


.0910 


.1040 


1170 


15 2m 




' 79 


.01316 


.0263 


.03950 


,0526 


.06583' 


.0790 


.09216 


.1053 


.11850 


14 - 




80 


.013 


.026 


.040 


.053 


.06 


.080 


.093 


.106' 


.120 


13 .. 




81 
82 


.01350 


0270 


.04050 


.0540 


.06750 


.0810 


.09450 


.1080 


.12150 


12 3m 
11 • 




0.0 36* 


0.0273 


0410 


0.0546* 


0.0683 


0.0820 


0.C956 


0.1093 


0.1230 




S3 


•01383 


•0276 


.04150 


.0553* 


.06916 


.0830 


.09683 


•1106' 


.12450 


to •• 




* 


.0140 


.0280 


.0420 


.0560 


.070 


.0840 


.0980 


.1120 


.1260 


9 4m 




85 


.01416 


.0283 


.04250 


.056 


.07083 


.0850 


.09916 


.113* 


.12750, 


8 . 




86 

87 


0143 


.0286 


.0430 


.0573 


.0716 


,0860 


.1003' 


.1146 


.1290 


7 " 




101450 ' 


0290 


3.04350 


0.0580 ( 


i. 07250 ( 


).0870 


).10150 ( 


).1160 


UQ50 


6 5m 




f 8 ! 


0146 


0293 


.0440 


.0586 


.073 


.0880 


.1026 


.1173 


.1320 


b • 




89 
90 


.01483 


0296 


.04450 


.0593 


.07416 


.0890 


.10383 


.1186 


.13350 


4 •• 




.0150 


•030 


.0450 


.060 


.0750 


.090 


.1050 


.120 


.1350 


3 6m 




91 


.01516 


.0303 


.04550 


.0606 


075831 .0910 


.10616 


.1213 


13650 


2 • 




92 


•0153 

i 


0306 


.046 


.0613* I .076 | ,0920 


.1073 


.1226 


.1380 


1 M 













TABLE A. 








10 


£ 
93 


1 


2 


3 


4 


5 


6 


7 


8 


9 


Sept. 

D.M.Y. 
30 7m 




0.01550 


0310 


0.04650 


0.0620 


0.07750 


0.0930 


0.1085C 


0.1240 


0.13950 




94 


.0156 


.0313 


.0470 


.0626 


.0783 


.0940 


.1096 


.1253 


.1410 


39 




95 


.01583 


.0316 


.04750 


.053 


.07916 


.0950 


.11082 


.126 


.14250 


28 .. 




96 


.0160 


.0320 


.0480 


.0640 


.080 


.0960 


.1120 


.1280 


.1440 


27 8m 




97 

9S 


.01616 


.0323 


.04850 


.0646 


.08083 


.0970 


.113K 


> .1293 


.14550 


26* 




0.0163* 


0.326 


0.0490 


0.0653 


0.0816 


0.0980 


0.1143 


0.1306 


01470 


25** 




99 


.01650 


.0330 


.04950 


.0660 


.08250 


.0990 


.1155C 


► .1320 


.14850 


24 9m 


123 


too 


.016 


.03 


.050 


.06* 


.083 


.10 


.116 


.13' 


.150 ' 


23 • 


Sept 


101 


.01683 


.0336 


.05050 


.0673 


.08416 


.1010 


.11783 


.1346 


.15150 


22 »• 




102 


.0170 


.0340 


.0510 


.0680 


.0850 


.1020 


.1190 


.1360 


.1530 


21 10m 




103 


0.01716 


0.0343* 


0.05150 


0.0686* 


0.085 83 


,.1030 


0.1201C 


0.1373 


0.15450 


20 ■ 




104 


.0173 


.0346 


.0520 


.0693 - 


.086 


.1040 


.1213 


.1386 


.1560 


19" 




105 


.01750 


.0350 


.05250 


.070 


.08750 


.1050 


.12250 


.140 


'15750 


18ll m 




106 


.0176 


.0353 


.0530 


0706 


.0883 


.1060 


.1236 


.1413 


.1590 


\7 . 




107 

108 


.01783 


.0356 


.05350 


.0713 


.08916* 


.1070 


.12483 


.1426 


.16050 


16 .. 
15 (Si 




0.0180 


0.0360 


0.0540 


0.0720 


0.090 


0.1080 


0.1260 


0.1440 


0.1620 




109 


.01816 


.0363 


.05450 


.0726 


.09083 


.1090 


.12716* 


.1453 


.16350 


14 . 




no 


.0183 


.036 


.0550 


.073 


.0916 


.110 


.1283 


.146 


.1650 


IS- 




Hi 


.01850 


.0370 


.05550 


.0740 


.09250 


.1110 


.1 2950 


.1480 


.16650 


12 1m 




112| 
113 


.0186 


.0373 


.0560 


.0746 


.093 


.1120 


.1306 


.1493 


.1680 


11 . 
10- 




0-01883 


0.0376' 


0.O5650 


0.0753 


0.09416 


0.1130 


0.13183 


0.1506 


0.16950 




114 


•0190 


.0380 


.0570 


.0760 


.0950 


.1140 


.1330 


.1520 


.1710 


9 2m 




115 


.01916 


03 83 


.05750 


.076 


.095a3 


.1150 


.13416 


.153 


.17250 


8 . 




lie 


.0193 


.0386 


.0580 


.0773 


•096 


.1160 


.1353 


.1546 


.1740 


7 •• 




117 

118 


.01950 


.0390 


.05850 


.0780 


.09750 


1170 


.13650 


.1560 


.mm 


6 3m 




0.0196 


0.0393* 


0-0590 


0.0786 


[)0983 < 


3.1180 


3.1376 


3.1573 


3.1770 II b ' 




119 


.01983 


.0396 


.05950 


.0793 


.09916 


.1190 


.13883 


.1586 


.17850 


4. .. 




120 


.020 


.040 


.060 


.080 


.10 


.120 


.140 


.160 


.180 


3 4m 




121 


.02016 


•0403 


.06050 


.0806* 


.10083 


.1210 


.14116* 


.1613 


.18150, 


2 • 




,122 


.0203 


.0406 


•0610 


0813 | .1016 


.1220 


1423* 


.1626 


.1830 1 


'•• 













TABT.fe 


A. 








4 


1 


] 

H 

91 

|«3 


1 


% 


13 


4 


5 


6 


7 18 


9 


D.1V1 V. 

31 5m 




0.02050 


0410 


0.06150 


0.0820 


0.10250 


0.1230 


0.14350 0.1640 


0.18450 




124 


.0206 


.0413 


.0620 


.0826 


.103* 


.1240 


.1446 


.1653 


.1860 


30 - 




125 


; .02083 


•0416 


.06250 


.083 


.10416 


.1250 


.14583 


.16 


.18750 


29 •• 




126 


.0210 


.0420 


.0630 


.0840 


.1050 


.1260 


.1470 


.1680 


.1890 


28 6m 




12 
128 


.02116 


0423 


.06350 


.0846 


.10583 


.1270 


.14816 


.1693 


•19050 


27 • 
26 •» 




0.0213 


0.0426 


0.0640 


0.0853 


0.106 


0.1280 


0.1493 


0.1706 


0.1920 




129 


.02150 


.0430 


.06450 


.0860 


.10750 


.1290 


.15050 


.1720 


.19350 


25 7m 




130 


.0216 


.043 


.0650 


.086 


.1083 


.130 


.1516 


.173 


.1950 


24 . 




131 


.021 S3 


.0436 


.06550 


.0873 


.10916 


.1310 


.15283' 


.1746 


.19650 


23 •■ 




132 
133 


•0220 


.0440 


.0660 


.0880 


.110 


.1320 


.1540 


.1760 


.1980 


22 '8m 




0.02216 


0.0443 


0.06650 


0.0886 


0.11083 


0.1330 


0.15516 


'.1773 


..19950 


21 1 




134 


.0223" 


.0446 


.0670 


.0893 


.1116 


.1340 


.1563 


.i786 


20i0 


20 - 


J 


135 


.02250 


.0450 


.06750 


.090 


.11250 


.1350 


.15750 


.180 


.20250 


19 9rn 




136 


.0226 


.0453 


.0680 


.0906 


.113 


.1360 


.1586 


.1813 


.2040 


18 • 




137 
i 


.02283 


.0456 


.06850 


.0913 


.11416 


.1370 


.15983 


.1826 


.20550 


1/ • 




0.0230 


0.0460 


j.0690 


0.0920 


'.115'- 


0.1380 


0.1610 


0.1840 


0.2070 


1610m 




139 


.02316 


.0463 


.06950 


.0926 


.11583* 


.1390 


.16216 


4853 


.20850 


15 • 




140 


.023 


.046 


.070 


.093 


.116 


.140 


.163 


.186* 


.210 


14 •• 




U1 


.02350 


•04ro 


.07050 


,0940 


.1175 


.141j 


.16450 


.1880 


.21150 


13 11m j| 


142 


.0256 .0473 


.0710 


.0946 


.1183 


.1420 


.1656 


.1893 


.2130 


12 * 
11 *- 




J 


U. 02383 


0.0476 


0.07150 


0.0953 


0.11916 


0.1430 


0.156t<3 


0.1906 


0.21450 




144 


.0240 


.0480 


.0720 


.0960 


.120 


.1440 


.1680 


.1920 


.2160 


10 4. 




145 


•02416 


.0483 


.07250 


.096 


.12083 


.1*50 


.16916 


.193 


.21750 


9 * 




146 


• G2 43 1 0436 


.0730 


.0973 


.1216 


,1460 


1703 


.1946 


.2190 


1 

8 «• 




147, 
148 


.02450 
0.0246 


.0490 


.07350 


.0980 


-12250 


.1470 


.17150 


.1960 


.28050 

0.222 j ; 


7 1m 
6 * 




0.0493 


0.0740 


0.0936 


0.123 


0.1480 


1726 


1973 




149 


.02483 


.0496 


.07450 


.0993 


.12416 


.1490 


.173H3 


.1986 


22350J 


b •• 


1 


150 


.0250 


.050 


0750 


.10 


.125 


.150 


.17 SO 


.20 


.2250 j 


4 2m | 




151 


02516 


•05.<J 


.07550 


.1016 


.12583 


.15X0 


.17616 


.2013 


.226,. ;l 


s. 


1 


i 69 


.0253 


.0506 


,076- 


.1013 


.126 


,1520 


,1773 


.2026 


.2280 j 


2.. 




I|153. .02550 051C 


.-07650 


.1020 


• 12750 


.1530 


.17850 


.204' 


. 22950] 


t 3m 


! 



TABLE A. 



12 



154 

155 

156 
\b: 
158 

i 

159 

i 
in 

16 2 
1168! 



.0256 

.02583 

.0260 

.02616 

.0263 



'i 



0.0513 
■0516 
0520 
0523 
0526 



3 4 



0.0770 o.io26 

.07750 



.0780 



103 

.1040 



.07850 .1046 



.0790 



U.02650 
.026 
.02683 
.0270 
.0271 6 



I64 
,165 
166 

(l67 
168 



0273 
.02750 
.0276 
.02783 
0280 



ji69tj°- 0281 <5 



.0283 

.02850 

.0286 

.02883 



1*0 

171| 

[173 

py*j|0.0290 
H75 -02916 



|176 

177 
178 



.0293 
.02950 
• 0296 



W* 0.02983" 
(180 030 

htllj .or»oi6 



8.0530 

.053 

.0536 
.0540 
0543 



0.0546 
.0550 
.055^ 
.0556 
.0560 



0.0563 
.056 
.0570 
.0573 
.0576 



I 



•0303 

.03050 

.0306 



00580 
.0583 
.0586 
.0590 
.0593 

0.0596 
.060 
•0603 
.0606 

.0610 

-0613* 



0.07950 
.080 
08050 
.0810 
.08150 



.1053 



1060 
.106 
.1073 
.1080 
.1086 



0.0820 P1093 



.03250 
.0830 
.08350 
.0840 



.110 
.1106 
.1113 
.1120 



0.0845 
.0850 
.08550 
.0860 
.08650 



0-1126 
.113 
.1140 
.1146 
.1153 



0.0870 
.08750 
.0880 
.08850 
.0890 



0.08950 

090 
.09050 

0910 

.09150 

.0920 



0.1160 
.116 
.1173 
.1180 
.1186 



0.1193 
.130 
.1206 
.1213 
.1220 
.1226 



0.1283 
.12916 
130 
.13083 



0.13250 
.13 
.13416 
1350 
13583 



(0.136 

.13750 
.1383 
.13916 
.140 



0.14083 
1416 

.14250 

.143 
14416 



0.1450 
14583 
146 
14750 
1483 



°. 14916 0. 
.150 
.15033 
.1516 
.15250 
.153 



6 



0.1540 
.1550 
.1560 
.1570 
.1580 



0.1590 
.160 
.1610 
.1620 
.1630 



0.1640 
.1650 
.1660 
.1670 
.1680 



0.1690 
.170 
.1710 
.1720 
.1730 



0.1740 
.1750 
.1760 
.1770 
.1780 



1790 

180 

1810 

1820 

1830 

1840 



0.1796 
18083 
.1820 
.18316 
.1843 



10.2053 
.206 
.2090 

.2093 
.2106 



0.18550 
.lb6 
.18783 
.1890 
.19016 



0.1913 
.19250 
.1936 
.19483 
1960 



0.19716 
.1983 
.19950 
.2006 
.20183 



0.2030 
.20416 
.2053 
.20650 
.2076 



Q.20883 

.210 

.21116 

.2123 

.21350 
.2146 



8 



02130 
.213 
2146* 
.2160 
2173 



.2186 

.220 

.2213 

.2226 

.2240 



0.2253 
.226* 
.2? 80 
.2293 
.2306 



Q.23 l 2Q 
.23 
.2346 
.2360 
.2373 



0.2386 
240 
2413 
2426 

2440 
2453 



¥ 



-.2310 
.33230 
.2340 
•23550 

.2370 

1 



0.23850 
.340 
.24150 
.2430 
.2445C 



.2460 

.24750 

.2490 

.25050J 

.2520 



0.25350J 
.2550 

.25650 

.2580 

.25950 



0.2610 

.26250! 
.2640 
.365501 
.2670 | 



July. 

DAl.Y. 
31 • 

30 .. 

29 4m 
28 • 
%7 •• 

26 3m 
2* • 

1\ •• 

23 6m 

22 • 

21 •• 
20 7m 
19 • 
18 •• 
17 8m 
16 • 
15 •• 
I* 9m 
13 • 
t2 •• 



J.26850J 
.270 ! 
.27150 
.2730 
.27450 
.2760 



fl 10m 

10 • 
9 •• 

8 Urn 

7 ' 

6 •• 

* • 

3 .. 

2 1m 
I • 



TABLE A. 



13 



1 &~ 


1 | % 


a 


4 


5 | 6 


7 


8 | 


Q 


June. 

IV\i.\. 

SO • 




|i Bo : 


." .03083 


616 


0.09250°.123 


0.15416 18*0 


0.21583 


216' 


0.27750 




186* -0 310 


.0620 


.0930 


.1240 


.1550 | .I860 


.2170 


.2480 


.2790 


29 2m 




-187 : -03116 


.0623 


.09350 


.1246 


.15583 


.1870 


.21816 


.2493 


.28050 


28 • 




.0313 


.0626 


.0940 


.1253 


.156 


.1880 


.2193 


.2506 


.2820 


%7 •• 




i 
189 


.03150 


.0630 


.09450 


.1260 


.15750 


.1890 


.22050 


.2520 


.28350 


C6 3m 




UM»| 


O.J316 


0063 


0.0950 


0.126 


0.1583 


0.190 


0.2216 


0.253 


0.2850 


25 • 




L 


.03183 


.0636 


.09550 


.1273 


.15916 


.1910 


.22283 


.2546 


.28650 


2i -• 




! 
!i92 ; 

1 1 


.0320 


.0640 


.0960 


.1280 


.160 


.1920 


.2240 


.2560 


.2880 


'23 4m 




! 
193; 


.03216 


.064o 


.09650 


1286 


.16083 


.1930 


.22516 


.2573 


.28950 


22 • 




191 


.0323 


.0646 


.0970 


.1293 


.1616 


.1940 


.2263 


.2586 


.2910 


51 .'. 




195 


0.03250 


0.0650 


0.O9750 


0.130 


0.16250 


.1950 


0.22750 


0.260 


0.29250 J 20 5m 




ft 96' .0326 


.0653 


.0980 


.1306 


,163 


.1960 


.2286 


.2613 


.2940 


19 • 




i ly: .03283 


.0656 


.09850 


.1313 


.16416 


.1970 


.22983 


.2626 


•29550 


18 - 






.0330 


.0560 


.0990 


.1320 


.1650 


.1980 


.2310 


.2640 


.2970 


\7 6m 




199 : 


.03316 -0663 

i 


.09950 


.1326 


.16583 


.1990 


.23216 


.2653 


.29850 


16 * 


j 


200 


0.03 


0.06 


0.10 


0,13 


0.16 


020 


0.23* 


0.26* 


0.30 


15 *• 




koi 


.03350 


.o6ro 


.10050 


.1340 


.16750 


.2010 


.23450 


.2680 


.30150 


14 7m 




1-202 


.0336 


.0673 


.1010 


.1346 


.1683 


.2020 


.2356 


.2693 


.3030 


13 • 




*05 .03383 


.0676 


.10150 


.1353 


.16916 


.2030 


.23683 


.2706 


.30450 


12 .. 




B04, .0340 


.0680 


.1020 


.1360 


.170 


.2040 


.2380 


.2720 


.3060 


11 8m 




r 

:i05 ;o.03416 


0.0683 


0.10250 


0.136 


17083 


0.2050 


0.23916 


0.273 


0.30750 


10 • 




•0343 


.0686 


.1030 


.1373 


.1716 


.2060 


.2403 


.2746 


.3090 


9" 




j-^07 , .03450 


.0690 


.10350 


.1380 


.17250 


.2070 


.24150 


.2760 


.31050 


8 9m 


H 


^08 


.0346 


0693 


.1040 


.1386 


.173 


.2j80 


.2426 


■2773 


.3120 


r- 




20[i 


.03483 


.0696 


.10450 


1393 


.17416 


.2090 


.24383 


.2786 


.31350, 


6 •' 




210 


0.0350 


ooro 


0.1050 


0.140 


1750 


0.210 


2450 


0-280 


0.3150 j 


5 10m 

i 




.03516 


.0703 


.10550 


.1406 


.17533 


.2110 


.24616 


.2313 


•31650JI 4 ' 




41 »| .0353 
pt3 .03550 
j214j! .0356 


.0705 


.1060 


.1413 


.176* 


.2120 


2473 


.2826 


.3180 ! 


3 '• 




•0710 


.10650 


.1420 


.17750 


.2130 


.24850 


.2340 


.31950; 


2 11m 




.0713 


.1070 


.1426 


.1783 


.2140 


2496 


.2853 


.3210 | 


1 . : 













TABLE A. 








14 


b 

■ 
• 

215 


1 


2 


3 


4 


5 


6 


7 


8 


9 ! 


May. 

D.M.Y. 
31 •• 

30 6 


0.03583 


00716* 


0.10750 


0143 


O.J 7916 


2150 


0.25083 


0.286 


0.32250 


2i6 


.0360 


.0720 


.1080 


.1440 


180 


.2160 


.2530 


.2880 


.3240 


217 


.03616 


.07*3 


.10850 


.1446 


18083 


2170 


.25316 


.2893 


.32550 


29 • 


218 


.0363 


.0726* 


.1090 


1453 


.1816 


.2180 


.2543 


.2906 


.3270 


28-. 


219 


.03650 


.0730 


1-950 


.14^0 


.18250 


.2190 


.25550 


.2920 


.32850 


27 1m 


220 

22: 


.036 


.073 


.110 


146 


.183 


.220 


256 


.293 


.330 


26 • 
2fT.. 


03683 


00736 


0.11050 


0.1473 


0.18416 


0.2210 


0.25783* 


0.2946* 


0.33150 


222 


.0370 


.0740 


.1110 


.1480 


.1850 


.2220 


.2590 


.2960 


.3330 


24 2m 


223 


.03716 


.0743 


.11150 


.1486 


.18583* 


.2230 


26016 


.2973 


.33450 


23 • 


224 


.0373 


.0746 


.1120 


.1493 


.186 


.2240 


.2613 


.3986 


.3360 


22 •• 


225 


.03750 


.0750 


.11250 


.150 


.18750 


.2250 


.26250 


.30 


.33750 


21 3m 


B26 


0.0376 


0.0753 


01130 


0.1506 


0.1883 


0.2260 


0.2636 


U 3013 


0.3390 


20 • 


227 


.03783 


.0756 


.11350 


.1513* 


.18916 


.2270 


.26483* 


.3025 


.34050 


19 •• 


228 


.0380 


.0760 


1140 


.1520 


.190 


.2280 


.2660 


.3340 


.3420 


18 4m 


229 


.03816 


.0763 


.11450 


.1.526 


.19083 


.2290 


.26716 


.3053 


.34350 


ir . 


230 
23 1 


.0383 


.076 


.1150 


.153* 


.1916 


.230 


.2683 


.306 


•3450 


16 .. 


0.03850 


0.0770 


0.11550 


0.1540 


0.19250 


0.2310 


25950 


03030 


0.34650 


15 5 ™ 


232 


.0385 


.0773 


.1160 


.1546 


.193 


2320 


.3706 


.3093 


.3480 


14 • 


233 


.03883 


J0775* 


.11650 


.1553 


.19116 


.2330 


27183 


.3106 


.34950 


13 •■ 


234 


•0390 


.0780 


.1170 


.1560 


.1950 


.2340 


.2730 


.3 120 


.3510 


13 6m 


235 
ito, 


.03916 


.0783 


.11750 


.156 


.19583 


.2350 


.27416 


.313 


.35250! 


11 • 

10 •■ 


0.0393 


0.0786 


0.1180 


0.1573' 


0.196 


vj.2360 


0.2753 


0.3146 


0.3540 


237 


.03950 


.0790 


.11850 


.1580 


.19750 


.2370 


.27650 


.316 J 


►35550 


9 7m 


238; 


•0396 


.0793 


.1190 


,l5ao 


.1983 


.2380 


.2776 


.3173 


.3570 


8 • 


239 

! 

240 


.03983 


.0796 


.11950 


.1593 


.19916 


.2390 


•278S3 


.3186 


.35350; 


7 - 


.040 


080 


.120 


.160 


.20 


.240 


.280 


.320 


.360 


6 8m 
b • 


til 


0.04016 


0.0803 


0.12050 


0.1606 


20083 


0.2410 


0.28U6 


3213 


0-36150 


242 .0403 


.0806 


.1210 


.1613 


.2016 


.2420 


2823 


.3226 


.3630 I 


*■•■ 


243 


.04050 


.0810 


.12150 


.1620 


20250 


.2430 


28350 


.3240 


.36450 


3 9m 


€44 


.0406 


.0813 


.1220 


.1626 


.203 


.2440 


,2846 


3253* 


.3660 


2 • 


245,' ! .04083 


•0816 


.12250 


.163 


.2 416 


•2450 


.28583 


.326 


.36750 


1 - 































' 


TABLE 


A. 








15 


o i 

: i 

m 


! 1 


'2 


3 


4 


b | o* 


7 


8 


»! 


Jprii 
D.M.Y. 
dOlOm 


Ufi 


10.0410 


04)830 


1230 


0.1640 


2050 -0.2460 


0.2870 


0..-.280 


0-3690 


1 
2V7 


.041 ; 6 


.0823" 


.I235i' 


1646" 


.20533 


.2470 


.28816 


.3293 


.37050 


29 • { 


.'48 


.0413 


.0826 


.1240 


.1653 


206 


.2400 


.2893 


.3306 


.3730 


28 - 


8*9 


.04150 


.0830 


.12450 


.1660 


.20750 


.2490 


.2905 


.3320 


.37350; 


2711m i 


250 
-251 


.0416 


.083* 


1250 


.16 


.2083 


.250 


.2916 


.3 


.3750 i 

i 


26 • 
26 •• 


0.04183 


0836 


j.1255 


0.1673 


0.20916 


02510 


029283 


0.3346* 


0.37650; 


'252 


1 .0430 


•0840 


.1260 


.1680 


.210 


.2520 


.2940 


.3360 


.3780 ! 


-7! 


25 3 
254 


j .04216 
.0423* 
.04250 

j. 0426 


.0843 
.0846 


.12650 
.1270 


1686 

.1693 


.21083 
2116 


.2530 
2540 


.29516 
.2963* 


.3373 
.3386 


.37950- 
.3810 j 


23 • 

22 »■ 


255 
25 6 


.0850 


.12750 


.170 


.21250 


2550 


.29750 


.340 


.38250' 


21 in* 
20 • ! 


0.0853 


1280 


0.1706 


213 


.256o 


0.2986 


0-3413 


0.3840 I 


c -:57 


.04283 


.0856 


.12850 


.1713 


.21416 


.2570 


.29983 


.3426 


,38550' 


.9»| 


^68 


.0430 


.0860 


.1290 


1720 


2150 


=2580 


.301, 


.3440 


.3870 


1 

!82m . 


2^9 


.04316 


.0863 


.12950 


.1726 


21583 


.2590 


.30216 


.3453 


.38850; 


17 • j 


2601 


•04? 


.086 


.130 


.173 


216 


•260 


.303* 


.346* 


.390 i 


i 


26 1! 


0.04350 


0.08TO 


0.l305u 


o 1740 


21750 


02610 


J.3045O 


0.3483 


0.39150' 


\b 3m j 


Bo2 


.0436 


.0873 


.131a 


.1746 


.2183 


.2620 


.3056 


.3493 


.3930 i 


1* . ; 


2oS | 


04o83 


.0876 


.13150 


.1753 


.21916 


.2630 


.30683 


.3506 


39450' 

! 


13.. | 


2i>i .0440 


.08S0 


.1320 


.176u 


220 


.2640 


.3080 


.3520 


3960 1 


12 4m j 


26j; 


04^16 


.0833 


,1325V, 


.1/6 


22033 


2650 


.30916 


.353 


39750: 


,0.. | 


266 


.0443* 


0886 


O.U3o 


^j.1773 


a 1 

0.2216 102660 


0.3103 


0.3 546 


0.3990 ! 


^0 7 .04450 
UGS- -0446 


0890 


.13350 


1780 


•22250J 2670 


.31150 


.3560 


40050 


95m} 


.0893 


.1340 


1786 


.223* 1 268j 


.3126 


3573 


.4020 i 


8 • 


269j 


04483 


.0896 


.13450 


1793 


.22416! 2690 ' 


.31383 


.5586 


.40350i 
j 


7 •• 


270 


.0450 


•090 


1350 


.180 


.2250 i 270 

i 


.3150 


360 


■#■50 | 
0.40650J 


6 6m 1 


271 


004516 


0.0903 


0.13550 


).1806 


0.33583 


-.2710 


031616 


0.3613 


P72 


0453 


0906* 


.136 


1813 


226 


2720 


3173 


.3626 


.4030 | 


A» 1 


H 


045 


0910 


13650 


.1820 


.227-50 


.2730 


31350 


.3640 


i 

.40950«. 


3 7m 


F* 


-0456 


.0913 


.1370 


1826 


£283: 


.2740 


3196 


.S65J 


.4110 1 


2 * ; 


27 5 


. 04583 j .0916 


.13750' .183 j 22916 .2750 


.32.-83 


36 


.41250] 


i 



TABLE A« 



16 



p 

u 

276 


1 


2 


<3 


4 


5 


6 


7 


8 


9 i 


March 
D.M v. 

31 8m 


0.0460 


0-0920 


0.1380 


0.1840 


230 


0.2760 


0.3220 


0.3630 


0.4140 


277 


.04616 


.0923* 


.13850 


.1846 


.23083 


.2770 


.32316 


.3693* 


.41550 


30 • 


t78 


.0463 


.0926 


.1390 


.1853 


2316 


.2700 


.3243 


.3706* 


.4170 


29 .. 


279 


.04650 


.0930 


.13950 


.1860 


.23250 


.2790 


.32550 .3720 


.41850 


28 9m 

-• 


280 
281 


.046 


.093* 


140 


486 


.23 


.280 


.326 


.373 


.420 


27 . 
26 - 


0.04683 


0-0936 


J. 1405v 


0.1873 


0.23416 


0.2810 


y. 327 63 


0.3746 


0.42150 


282 


.0470 


•0940 


1410 


.1880 


.2350 


.2820 


.3290 


.3760 


.4230 


2510m 


283 


.04716 


.0943 


.14150 


.1886 


.23583* 


.*830 


•33016* 


.3773 


.42450 


24 • 


284 


.0473' 


.0946 


.1420 


.1893 


.236 


.2840 


.3313* 


.3786 


.4260 


23- 


28 5 
286 


.14750 
u-0476 


.0950 


.14250 


.190 


.23750 


2850 


.33250 


.380 


.42750 


2211m 


0.0953 


0.1430 


J. 1906* 


2383 


.2860 


o.3o36 


0-3813 


0.4290 


287 


.04783 


.0956 


.14350 


.1913 


23916' 


.2870 


.33483 


.3826 


.43050 


20 •• 


^88 


.0480 


.0960 


.1440 


.1920 


.240 


.2880 


.3360 


.3840 


.4320 


.98 


289 


.04816 


.0963 


.14450 


.1926 


.24083 


.2890 


.33716 


.3853 


.43350 


18 • 


290 


•0483 


.096 


.1450 


.193 


.2416 


.290 


.3383 


.386 


.4350 


17- 


291 


0.04850 


0.0970 


0.14550:0-1940 


24250 


0-2910 


0.33950 


f'.3830 


0.43650 


16 lm 


292 


.0486 


.0973 


.1450 


.1946 


.243 


.2920 


.3406 


.3893* 


.4380 


15 • 


293 


.04883 


.0976 


.14650 


.1953 


•24416 


.2930 


.34183 


.3906 


.43950 


u« 


294 


.0490 


.0980 


.1470 


.1960 


2450 


.2940 


.:U30 


.3920 


.4410 


13 2m 


295 
296; 


i -04916 


.0933 


.14750 


.196 


.24583 


.2950 


.34416 


.393 


.44250 


12 • 
11 •• 


.0493 


0.0986 


u.1480 j\U973 


0.246 


0.2960 


0.3453 


0.3946 


0.4440 


297 


.04050 


•0990 


.14850 


1980 


.24750 


•29?0 


.34650 


.3:;60 


.44550 


10 3m 


298 


.0495 .0993* 


.1490 -^86 


.2483 


.2980 


3476* 


.3973* 


.4470 


9 • 


299| 


.04983 


.0996 


J495o| ltJ S3 


.24916 


2990 


• 3 1883 


.3986 


.44850 


8 .. i 


300 

3 oil 

H 


.050 


.10 


• 150 


.20 


.250 


.30 


.350 


.40 


,450 


7 4m| 
6 • 


005016 


0.1003 


J 15'.; 5 >\ 


0.2006 


.25 83 


:'.30!0 


035116 


0.4013 


0.45150 


0503 


.10od 


.1510 1 


2j13 


.2.5 it* 


3 120 


3523 


.4026 


.4530 


5 •■ . 


303 ! 


.05050 


1010 


1515ft 


.2020 


.2525^ 


3 30 


.35350 


.4040 


.45450 


4 5m i 


304; 


•0506 


• 1013 


.1520 


2 26 


•253 


.3040 


.35 *6 


.4053 


.4660 


3 • i 


305; 


.05083 


.1016 


.15250 
.1530 | 


.203* 


25416 


.3'- .'50 


»>5583 


•4<6 


.45750 


1 g •• 


|306 ; j .0510 


.1020 


2040 


.2550 


.3 61 


.3570 


.4080 


.4590 


: 1 6m j 



306 



TABLE A. 



1? 



T 

■ 

W7 


1 


3 


a 


4 


5 


6 


7 


8 


9 


Feb. J 
DMY.; 

£8 • 




0.05116 


1023 


0.15350 


0.2046 


0.25583 


0.3070 


,.35816 


0.4093 


0-46050 




iS08 


.0513 


.1026 


.1540 


.2053 


.256 


.3 80 


.3593 


.4 106 


.4620 


27 .. 




SO 9 


.05150 


.1030 


.15450 


.2060 


.25750 


.3090 


.36050 


.4120 


.46350 


26 Tm 




310 


.0516 


.103 


.1550 


.306* 


2583 


.310 


3616 


.413 


.4650 


26 • 




3M 


.05183 


1036 


.15550 


.2073 


.25916 


.3110 


.36283 


.4146 


.46650 


24- 




S-2 


0.0520 


0.1040 


1560 


02080 


0.260 


0.3120 


^.3640 


0.4160 


0.4680 


23 8m 




313 


.05216 


.1043 


.15650 


.2086 


.26083 


.3130 


36516 


.4173 


.46950 


22 . 




51* 


.0523 


•1046 


1570 


.2093* 


.2616* 


.3140 


3663 


.4186* 


.4710 


21-. 




313 


.05250 


.1050 


.15r50 


.210 


.26250 


3150 


.36750 


.420 


.47250) 


-iO 9m 




31b 

sir 


.0526 


1053 


.1^80 


.2106* 


.263 


316u 


.3686 


.4213 


.4740 


19 • 




0.05283 


V.1056 


0.15850 


j.2113 


.26416 


.3170 


u369ai 


0-4226 


0.47550 






.0550 


.1060 


1590 


.2120 


2650 


.0180 


.3710 


.4240 


.4770 


1710m 




.05316 


1063 


.15950 


2126 


26583 


.3190 


.37216 


.4253 


.47850 

l 


16 • 




pSOjl .053 


.106 


.160 


.213 


26 


.320 


.372 


.426 


.480 


li> •• 




321| 


.0535U 


.1070 


.16050 


.2140 


26750 
0.2683* 


3210 


.37450 


4280 


.481501 


1-Ulm 




322 


0-0536 


0.1073 


.161 


2146 


3220 


u.3756 


Q 4293 


0.4830 


IS • 




323' 


.05383 


1076 


.16150 


.2153 


26916 


3230 


37683 


4306 


.48450 


12 .. 




3*4; 


.0540 


.1080 


.1620 


.2160 


270 


.3240 


3780 


.4320 


.4860 | 


-9 




3251 


.05416 


.1083 


.16250 


.216 


27083 


.3250 


.37916 


.45 


• 4875C'! 


10 • 




S26 

I 


.0543 


.1086 


1630 


•2173 


2716 


.3260 


.3803 


4546 


.4890 ; 


9- 
8 1m 




3 J 


-4545- 


0.109 


16350 


U.2180 


27250 


3270 


0.38 l5o 


0.4360 


0.49050: 


331 




0546 


.1093 


.1640 


2186 


27:' 


.3280 


,3826* 


.4373 


.4920 '• 


7 . 


Feb. 


329 


.05483 


•1096 


.16450 


.2193 


.27416 


1390 


38383 


4386 


.49350! 


6*. 




330' 


.0550 


110 


• 1650 


.220 


2750 


330 


.3850 


.440 


.4950 j 


5 2m 




331; 

1 


.05516 


1103 


16550 


.2206 


27503 


3310 


.38616 


•44J3 


.49650 


4 • 

3 " 




0.0553 


0.1U6 


166u 


02213 


-.276 


3320 


03873 


0.4426 


l 
0.4980 ! 

1 




* s *1 .05550 


1110 


1665o 


.2220 


.27750 


.3330 


38850 


.4440 


1 
.49950: 

1 


£ 3m 




II 
tS4| 0556 


.1113 


.1670 


.2226 


.2783 


.3340 


J 896 


.4453 


.5010 


1 • 













TABLE A. 








ie 


BS5 


1 


% 


3 


4 


h 6 


7 


8 


»j 


Jan. 

D.M.Y. 
31 -■ 


0.05583 


J 1116 


o 16750 


0.223 


O.j 7916 


0.3350 


0.39083 


0.446 


0.50250 


3Jt5 


.0560 


.1120 


.1680 


.2240 


280 


.3360 


.3920 


.4480 


.5040 


304m 




.05616 


.1123 


.16850 


.2240 


.28083 


.3370 


.39316 


.4493* 


.50550 


89 • 


A3* 


.0563 | 1126 


.1690 


.2253* 


2816 


.3300 


.3943 


.4506 


.5070 


28 •• 


339 


.05650 


1130 


.16950 
;170 


.2260 
226 


.28250 
0.283* 


.3390 


.39550 


.4520 


.50850 


27 5m 
26 • 


3+U 


0.056 


0.113 


0.340 


0.396* 


0.453 


0.510 


34 1 


05683 


.1136 


.iroso 


2273 


.28416 


.3410 


.39783 


.4546 


.51150 


25 ■• 


342 


.057) 


•1140 


1710 


.2:80 


.2850 


.3420 


.3990; 


.4560 


.5130 


24 6m 


343 


.05716 


1143 


.17150 


.2286 


.28583 


•3430 


.40016 


.4573 


.51450 


23 • 


344 
345 


i .0573* 


1146 


.1720 


.2293 


.286 


3440 


.4013 


.4586 


.5160 


22 '.. 

21 7m 


0.05750 


0.1150 


0.17250 


0.230 


0-28750 


0.3450 


0.40250 


0-460 


0.51750 


346 


.0576 


.1153 


1730 


.2306 


2883* 


.3460 


.4036 


.4613 


.5190 


20 • 


347 


.05783 


.1156 


.17350 


.2313* 


.28916 


.3470 


.40483 


.4626 


.52050 


19 •• 


348 


.0560 


.1160 


.1740 


.2320 


290 


.3480 


.406-j 


.4640 


.5220 


18 8m 


3*9 


! .05816 

j 


1163 


.17450 


.2326 


29083 


3490 


.40716 


4653 


.52350 


17 • 

16 ■■ 


3-0 


0-0583 


0.116 


u.1750 


23 


0.2916 


0.350 


0.4083* 


0.46 


0.5250 


351 


.05850 


1170 


.17 55 j 


.2340 


29250 


.3510 


40950 


.4680 


.52650 


15 9m 


SS-c 


.0586 


.1173 


.176j 


.2346 


•293* 


.3520 


4106 


.4693 


.5280 


14 . 


353 


Q5S83 


.1176 


.17650 


.2353 


.29416 


.3530 


.41183 


4706 


.52950 


IS » 


854 

i 

355- 


.0590 


.1180 


.1770 


.236J 


.2950 


.3540 


.4130 


4720 


.5310 


1210m 


05916 


0.1183 


0.17750 


0-236* 


29583 


0.3550 


0.41416 


u.473 


0.53350 


356 


.0593 


.1186 


.1780 


•2373 


.296 


.3560 


.4153 


.4746 


5340 


10 M 


337! 


.05950 


1190 


.17850 


.2380 


.29750 


.3570 


.41650 


.4760 


.53550 


911m 




.0596 


.1193 


•1790 


.2386* 


.2983 


3580 


.4176 


.4773 


.5370 


8 • 


B59 .05983 

B60||o.060 

06016 
0603 
j363 ! .06050 
|S64 -0606 


1196 


.17950 


.2393* 


.29916 


.3590 


.41883 


4786 


.53850 


7 •• 

~ilO 

5 
4 

S « 
2 


0.130 

.1203 

1206 
1210 
.1213 


180 
.18050 
.1810 
18150 
.1820 


0-240 
.2406 
.2413 
2420 
.2426 


0.30 
.30083* 
.3016 

.30250 
•303 


U360 
.3610 
3620 

.3530 
.3640 


0.420 
.42116 
4223 
42350 
.4246* 


0.480 
.4813 
.4826 
.4840 
.4853' 


0.540 
.54150 
5430 
.54450 

.5460 


iS (5 5 . .06083 


.1216 


.18250 


.243 


30416 


.3650 


.42583 


.486 


.54750 


1 



TABLE B. 



19 



§2 


Cent \ 


■•* 


3 


4 


h 


°l 


7 1 


8 


9 




| .00 ! 
45 


0.1*6 


0.3 


0.50 


0.6 


0.83 


1.0 


1.16 


1.3 


1.50 


ja 


0.2 083 


0.416 


0.6250 


0.83 


1.0416 


1.250 


1.4583 


1.6 


1.8750 


o 

o 


JO 


0.250 


0.50 


0.750 


1.0 


1.250 


1.50 


1.750 


2.0 


2.250 


CO 


.7 5 


0.2916 


0.583 


0.8750 


1.16 


1.4583 


1.750 


2.0416 


2.S 


2.6250 


to 


<J>00 

.2- 


0.3* 
0.3750 


16 

0.750 


1.0 
1.1250 


1.3 

1.50 


1.6 

1.8750 


2.0 
2.250 


2.3 
2.6250 


2.6 

3.0 


3.0 

3.3750 


§ 


.5 

.7- 


416 


083 


1.250 


1.6 


2.083 


2.50 


2.916 


3.3 


3.750 


CO« 


0.4583 


0.916 

1.0 
1.083 


1.3750 


1.83 


2.2916 


2.750 


3.2083 


3.6 


4.1250 


C* 
00 


3° 

25 


0.50 

0-5416 


1.50 

1.6250 


2.0 
2.16 


2.50 
2.7083 


3.0 
3.250 


3.50 
3.7916 


4.0 
4.3 


4.50 
4,8750 




.50 


0.583 


1.16 


1.750 


2.3 


2.916 


3.50 


4.083 


4-6 


5.250 


o- 

03 


.75 


0.6250 


1.250 


1.8750 


2.50 


3.1250 


3.750 


4.3750 


5.0 


5 6250 


4°« 

.25 


• 
i.6 

0.7083 

0.750 

0-7916 


1.3 


2.0 


2.6 


3.3 


4.0 


4.6 


53 


6.0 


<o* 


1.416 


2.1250 


283 


3.5416 


4.250 


49583 


5.6 


6.3750 


M 

o 


.50 
.75 


1.50 
1583 


2.250 

2.3750 


3.0 
3.16 


3.750 
3.9583 


450 

4.750 


5.250 
5.5416 


6.0 


6.750 

7.1250 


•V 


5.00 
^.25 

.50 


0.13' 


16 


2.50 


3.3 


4.16 


5.0 


5 83 


6.6 


7.50 


8- 

i 


0.8750 
0.916 


1.750 
1.83 


2.6250 
2.750 


3.50 
3.6 


4.3750 
4.583 


5.250 
5.50 


6.1250 
6.416 


7.0 

7.3 


7.8750 
8.250 


00 


.75 


0.9583 


1.916 


2 8750 


3.83 


4.7916 


5.750 


6.7083 


7.6 


8.6250 


* 


•d 


10 


2.0 


30 


4.0 


5.0 


6.0 


7.0 


8.0 


9.0 


<o* 


1.0416 


2.083 


3.1250 


4.16 


5.2083 


6.250 


7,2916 


8.3 


9 3750 


1 


•H 


1.083* 


2-16 


3.250 


4.3* 


5.416 


6 50 


7.583 


8.6 


9.750 


•*• 


..rs 


1.1250 


2.250 


3.3750 


4.50 


5.6250 


6.750 


7.8750 


9.0 


10.1250 


7 J 

• .35 


1.1*5 


2 3 


3.50 


46 


5.83 


7.0 


8.16* 


9.3* 


10.50 


2 


1.2083 


2.416 


3.6250 


4.83 


6.0416 


7250 


8.4583 


9.6 


10.8750 


§ 


.50 


1.250 


2.50 


3.750 


5.0 


6.250 


7.50 


8.750 


10.0 


11.250 


00. 


.75 


1 2 r >16 


2.583 


3.87501 5.16 


6.4583 


7.750 


9.0416 


10.3 


11.6250 


g.00 

.25 


1.3 


2.6* 


40 


53 


66 


8.0 


93 


10.6 


12-0 


i 


1.3750 


2.750 


4.1250 


5.50 


6.8750 


8.250 


9.6250 


11.0 


12.3750 


50 


1.416 


283 


4.250 1 5.6 


7.083 


850 


9.916 


11-3 


12.750 


.TJJI 1.4583 


2 916 


4.3750; 5.83 


7.2916 


8*750 


10.208? 


11.6 


13.1250 




Q.OO j 1.-50 

.25 1.5416 


.1.0 

3.083 


4.50 
4.6250 


60 
6.16 


750 
7.7083* 


9.0 
9.250 


10.50 
10.7916 


12.0 
12.3 


13.50 

13.8750 


2 
5 


.50 i 1.583 


3 16 


4.750 


6.3 


7.916 


950 


11.083 


12.6 


14.250 


v3 

•a. 


.75 1 1.6250 


3.250 


4.8750 


6.50 


8.1250 


9.750 


11.3750 


13-0 


14.6250 



LIBRARY OF 



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